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220110321012320 = 25531712757340183
BaseRepresentation
bin110010000011000001101101…
…011111101100111001100000
31001212100100012201112122201102
4302003001231133230321200
5212322241414134343240
62100045141401453532
764235305642433024
oct6203015537547140
91055310181478642
10220110321012320
1164152298a46832
122082aa311a12a8
1395a841141671b
143c4d579948384
151a6a8942cc815
hexc8306d7ece60

220110321012320 has 96 divisors (see below), whose sum is σ = 521693470404288. Its totient is φ = 87759248836608.

The previous prime is 220110321012269. The next prime is 220110321012331. The reversal of 220110321012320 is 23210123011022.

It is a super-2 number, since 2×2201103210123202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 220110321012292 and 220110321012301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 646864949 + ... + 647205131.

It is an arithmetic number, because the mean of its divisors is an integer number (5434306983378).

Almost surely, 2220110321012320 is an apocalyptic number.

220110321012320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220110321012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260846735202144).

220110321012320 is an abundant number, since it is smaller than the sum of its proper divisors (301583149391968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220110321012320 is a wasteful number, since it uses less digits than its factorization.

220110321012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353272 (or 353264 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 220110321012320 its reverse (23210123011022), we get a palindrome (243320444023342).

The spelling of 220110321012320 in words is "two hundred twenty trillion, one hundred ten billion, three hundred twenty-one million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 317 634 1268 1585 2536 3170 5072 6340 10144 12680 12757 25360 25514 50720 51028 63785 102056 127570 204112 255140 340183 408224 510280 680366 1020560 1360732 1700915 2041120 2721464 3401830 4043969 5442928 6803660 8087938 10885856 13607320 16175876 20219845 27214640 32351752 40439690 54429280 64703504 80879380 107838011 129407008 161758760 215676022 323517520 431352044 539190055 647035040 862704088 1078380110 1725408176 2156760220 3450816352 4313520440 4339714531 8627040880 8679429062 17254081760 17358858124 21698572655 34717716248 43397145310 69435432496 86794290620 138870864992 173588581240 347177162480 694354324960 1375689506327 2751379012654 5502758025308 6878447531635 11005516050616 13756895063270 22011032101232 27513790126540 44022064202464 55027580253080 110055160506160 220110321012320